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Title: | On the convergence of the hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces |
Authors: | Bespalov, A Heuer, N |
Keywords: | hp-version with quasi-uniform meshes;electric field integral equation;time-harmonic electro-magnetic scattering;boundary element method |
Issue Date: | 2008 |
Abstract: | In this paper the hp-version of the boundary element method is applied to the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. The underlying meshes are supposed to be quasi-uniform. We use $\bH(\div)$-conforming discretisations with quadrilateral elements of Raviart-Thomas type and establish quasi-optimal convergence of hp-approximations. Main ingredient of our analysis is a new $\tilde\bH^{-1/2}(\div)$-conforming p-interpolation operator that assumes only $\bH^r\cap\tilde\bH^{-1/2}(\div)$-regularity ($r>0$) and for which we show quasi-stability with respect to polynomial degrees. |
URI: | http://bura.brunel.ac.uk/handle/2438/2761 |
Appears in Collections: | Computer Science Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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BespalovH_Chp.pdf | 308.53 kB | Adobe PDF | View/Open |
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